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Finding the Fourth Proportional to 471,495.61, 707,381.21 and 151,640.29

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Solution

The fourth proportional to 471,495.61, 707,381.21 and 151,640.29 is: 227,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,495.61 : 707,381.21 = 151,640.29 : x
  2. Step 2: Convert to fraction form
    471,495.61/707,381.21 = 151,640.29/x
  3. Step 3: Cross multiply
    471,495.61x = 707,381.21 × 151,640.29
  4. Step 4: Simplify right side
    471,495.61x = 107,267,489,298.30
  5. Step 5: Solve for x
    x = 107,267,489,298.30/471,495.61
  6. Step 6: Final answer
    x = 227,504.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.